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Symmetries of Equations of Quantum Mechanics
Table of
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Solitary wave and other solutions for nonlinear heat equations
A number of explicit solutions for the heat equation with a polynomial non-linearity and for the Fisher equation is presented. An extended class of non-linear heat equations admitting solitary waveExpand
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Relativistic wave equations for interacting, massive particles with arbitrary half-integer spins
New formulation of relativistic wave equations (RWE) for massive particles with arbitrary half-integer spins s interacting with external electromagnetic fields are proposed. They are based on waveExpand
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Group Classification of Nonlinear Schrödinger Equations
We propose an approach to problems of group classification. By using this approach, we perform a complete group classification of nonlinear Schrödinger equations of the form iψt + Δψ + F(ψ, ψ*) = 0.
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Extended Poincaré parasuperalgebra with central charges and invariant wave equations
We describe irreducible representations of the extended Poincare parasuperalgebra (PPSA) which includes an arbitrary number N of parasupercharges, n (n≤{N/2}) central charges and an internal symmetryExpand
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Reduction of the representations of the generalised Poincare algebra by the Galilei algebra
The realisations of all classes of unitary irreducible representations of the generalised Poincare group P(1,4) have been found in a basis in which the Casimir operators of its important subgroup,Expand
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Galilei invariant theories: I. Constructions of indecomposable finite-dimensional representations of the homogeneous Galilei group: directly and via contractions
All indecomposable finite-dimensional representations of the homogeneous Galilei group which when restricted to the rotation subgroup are decomposed to spin-0, -1/2 and -1 representations areExpand
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Construction and classification of indecomposable finite-dimensional representations of the homogeneous Galilei group
We discuss finite-dimensional representations of the homogeneous Galilei group which, when restricted to its subgroup SO(3), are decomposed to spin 0, 1/2 and 1 representations. In particular weExpand
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Non-Lie and Discrete Symmetries of the Dirac Equation
New algebras of symmetries of the Dirac equation are presented, which are formed by linear and antilinear first‐order dierential operators. These symmetries are applied to decouple the Dirac equationExpand
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Generalized Killing Tensors and Symmetry of Klein-Gordon-Fock Equations 1
The paper studies non-Lie symmetry of the Klein–Gordon–Fock equation (KGF) in (p + q)-dimensional Minkowsky space. Full set of symmetry operators for the norder KGF equation was explicitly calculatedExpand
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